3784115808 has 144 divisors (see below), whose sum is σ = 12144459600. Its totient is φ = 1107133440.

The previous prime is 3784115789. The next prime is 3784115813. The reversal of 3784115808 is 8085114873.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71278 + ... + 112466.

It is an arithmetic number, because the mean of its divisors is an integer number (84336525).

Almost surely, 2^3784115808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3784115808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6072229800).

3784115808 is an abundant number, since it is smaller than the sum of its proper divisors (8360343792).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3784115808 is a wasteful number, since it uses less digits than its factorization.

3784115808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41245 (or 41234 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The square root of 3784115808 is about 61515.1673004309. The cubic root of 3784115808 is about 1558.3134040162.

The spelling of 3784115808 in words is "three billion, seven hundred eighty-four million, one hundred fifteen thousand, eight hundred eight".